2x^2+5x+2
25.4
A(1,-2) and B(-4,-4)
×+11=13
How do you solve a problem like this X + 3y = 1. - 5x + 4y = - 24 And how did you do it . Stuck and confused thxs Johnny
13
The expression you provided is a quadratic expression, written in the form of ax^2 + bx + c. To simplify or analyze this expression, we can first attempt factoring, which can help us find the roots or zeros of the expression.
To factor a quadratic expression, we aim to find two binomials that when multiplied together, result in the given quadratic expression. In this case, we have 2x^2 + 5x + 2.
To factor, we need to find two numbers that multiply to the product of a and c (in this case, 2 and 2), and add up to b (in this case, 5). The numbers that fit this requirement are 2 and 1.
So, we can split the middle term (5x) into two terms using these numbers: 2x and 1x.
2x^2 + 2x + 1x + 2
Now, we can group the terms:
(2x^2 + 2x) + (1x + 2)
Next, factor out the greatest common factor from each group:
2x(x + 1) + 1(x + 2)
After factoring out the common factors from each group, we can see that the binomials (x + 1) are the same. Therefore, we can combine them:
2x(x + 1) + 1(x + 2) = (2x + 1)(x + 2)
So, the factored expression of 2x^2 + 5x + 2 is (2x + 1)(x + 2).
By factoring the expression, we now have it in its simplified form, which allows us to find the roots or zeros by setting each factor equal to zero:
(2x + 1) = 0 or (x + 2) = 0
By solving these equations, we can find the values of x:
For (2x + 1) = 0:
2x = -1
x = -1/2
For (x + 2) = 0:
x = -2
Therefore, the roots or zeros of the quadratic expression 2x^2 + 5x + 2 are x = -1/2 and x = -2.